We use the method in [1]}, [2]}. The variable of integration in the contour integral is \(r = w+m\) . The cut and contour are in the first quadrant of the complex \(r\) -plane. The cut approaches the origin from the interior of the first quadrant and the contour goes round the origin with zero radius and is on opposite sides of the cut. Using a generalization of Cauchy's integral formula we form the sextuple integral by replacing \(y\)  by
\(\log \left(\frac{a x \sqrt{\log \left(\frac{1}{t}\right)} \sqrt{\log \left(\frac{1}{z}\right)}}{y \sqrt{\log \left(\frac{1}{p}\right)} \sqrt{\log \left(\frac{1}{q}\right)}}\right)\) 
